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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. RAN. Ser. Mat.,
2009
Volume 73,
Issue 4,
Pages
77–152
(Mi im2714)
This article is cited in
6
papers
Log canonical thresholds of three-dimensional Fano hypersurfaces
I. A. Cheltsov
Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We study global log canonical thresholds of generic hypersurfaces in
$\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$
of degree
$\sum_{i=1}^{4}a_{i}$
that have at most terminal singularities.
Keywords:
Fano variety, log canonical threshold, Tian's alpha-invariant, Kähler–Einstein metric.
UDC:
512.7
MSC:
14J45
,
14E07
,
14J17
,
14J30
,
14B05
,
32Q20
Received:
06.08.2007
Revised:
25.01.2008
DOI:
10.4213/im2714
Fulltext:
PDF file (946 kB)
References
Cited by
English version:
Izvestiya: Mathematics, 2009,
73
:4,
727–795
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024